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Finding the Fourth Proportional to 12,525.34, 18,785.91 and 4,204.42

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Solution

The fourth proportional to 12,525.34, 18,785.91 and 4,204.42 is: 6,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,525.34 : 18,785.91 = 4,204.42 : x
  2. Step 2: Convert to fraction form
    12,525.34/18,785.91 = 4,204.42/x
  3. Step 3: Cross multiply
    12,525.34x = 18,785.91 × 4,204.42
  4. Step 4: Simplify right side
    12,525.34x = 78,983,855.72
  5. Step 5: Solve for x
    x = 78,983,855.72/12,525.34
  6. Step 6: Final answer
    x = 6,305.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.